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Wiktionary
core curriculum

n. (context education English) The courses or other components of an educational program which are foundational, prerequisite, or mandatory, as opposed to the elective, secondary, or variable components of a program.

Wikipedia
Core Curriculum (Columbia College)

The Core Curriculum was originally developed as the main curriculum used by Columbia University's Columbia College in 1919. Today, customized versions of the Core Curriculum are also completed by students in the School of Engineering and Applied Science and the School of General Studies (the other two undergraduate colleges of Columbia University).

The curriculum began in 1919 with "Contemporary Civilization," about the origins of western civilization. It became the framework for many similar educational models throughout the United States. Later in its history, especially in the 1990s, it became a heavily contested form of learning, seen by some as an appropriate foundation of a liberal arts education, and by others as a tool of promoting a Eurocentric or Anglocentric society by solely focusing on the works of dead white men. In response, the College added requirements for courses in "major cultures" during the 1980s. Recent controversy over the "Core" has been related to whether visiting artists to Columbia should have their works added to the syllabus, as was the case with a play by Václav Havel in Fall 2006. A major addition to the core was made in the 2000s, when a science literacy course was added.

Usage examples of "core curriculum".

Only a handful of states then required as strong a core curriculum as the one I proposed.

The core curriculum was as much about the ethics of being a mutant as the practicalities.

Unlike Selena, she'd avoided language classes in college like they were poison, and if not for Selena, she would never have passed that part of her core curriculum at all.

He was Assistant Secretary General of the United Nations for many years, and his World Core Curriculum is currently being used in schools throughout the world to introduce students to occult thought.